Modified instanton sum in QCD and higher-groups

Tanizaki, Yuya; Ünsal, Mithat

doi:10.1007/jhep03(2020)123

Modified instanton sum in QCD and higher-groups

Journal Article · Mon Mar 23 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2020)123· OSTI ID:1777084

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North Carolina State Univ., Raleigh, NC (United States); NCSU
North Carolina State Univ., Raleigh, NC (United States)

We consider the SU(N) Yang-Mills theory, whose topological sectors are restricted to the instanton number with integer multiples of p. We can formulate such a quantum field theory maintaining locality and unitarity, and the model contains both 2π-periodic scalar and 3-form gauge fields. This can be interpreted as coupling a topological theory to Yang-Mills theory, so the local dynamics becomes identical with that of pure Yang-Mills theory. The theory has not only $$\mathbb{Z}$$_N 1-form symmetry but also $$\mathbb{Z}$$_p 3-form symmetry, and we study the global nature of this theory from the recent ’t Hooft anomaly matching. The computation of ’t Hooft anomaly incorporates an intriguing higher-group structure. We also carefully examine that how such kinematical constraint is realized in the dynamics by using the large-N and also the reliable semiclassics on $$\mathbb{R}$$³ × S¹, and we find that the topological susceptibility plays a role of the order parameter for the $$\mathbb{Z}$$_p 3-form symmetry. Introducing a fermion in the fundamental or adjoint representation, we find that the chiral symmetry becomes larger than the usual case by $$\mathbb{Z}$$_p, and it leads to the extra p vacua by discrete chiral symmetry breaking. No dynamical domain wall can interpolate those extra vacua since such objects must be charged under the 3-form symmetry in order to match the ’t Hooft anomaly.

View Accepted Manuscript (DOE)

Research Organization:: North Carolina State Univ., Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-03ER41260

OSTI ID:: 1777084

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (120)

Some results for SU(N) gauge-fields on the Hypertorus van Baal, Pierre Communications in Mathematical Physics, Vol. 85, Issue 4 https://doi.org/10.1007/bf01403503	journal	December 1982
Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/jhep01(2018)110	journal	January 2018
Phase structure of the twisted SU(3)/U(1)2 flag sigma model on ℝ × S1 Hongo, Masaru; Misumi, Tatsuhiro; Tanizaki, Yuya Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)070	journal	February 2019
Anomaly matching in QCD thermal phase transition Yonekura, Kazuya Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/jhep05(2019)062	journal	May 2019
Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected Poppitz, Erich; Ünsal, Mithat Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/jhep07(2011)082	journal	July 2011
Quantum distillation of Hilbert spaces, semi-classics and anomaly matching Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/jhep08(2018)068	journal	August 2018
Dual simulation of the 2d U(1) gauge Higgs model at topological angle θ = π: Critical endpoint behavior Gattringer, Christof; Göschl, Daniel; Sulejmanpašić, Tin Nuclear Physics B, Vol. 935 https://doi.org/10.1016/j.nuclphysb.2018.08.017	journal	October 2018
Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model Cherman, Aleksey; Dorigoni, Daniele; Dunne, Gerald V. Physical Review Letters, Vol. 112, Issue 2 https://doi.org/10.1103/physrevlett.112.021601	journal	January 2014
Finite volume QCD at fixed topological charge Aoki, Sinya; Fukaya, Hidenori; Hashimoto, Shoji arXiv https://doi.org/10.48550/arxiv.0707.0396	text	January 2007
Modifying the Sum Over Topological Sectors and Constraints on Supergravity Seiberg, Nathan arXiv https://doi.org/10.48550/arxiv.1005.0002	text	January 2010
A semiclassical realization of infrared renormalons Argyres, Philip; Unsal, Mithat arXiv https://doi.org/10.48550/arxiv.1204.1661	text	January 2012
The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects Argyres, Philip C.; Ünsal, Mithat arXiv https://doi.org/10.48550/arxiv.1206.1890	text	January 2012
Reading between the lines of four-dimensional gauge theories Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji arXiv https://doi.org/10.48550/arxiv.1305.0318	text	January 2013
Coupling a QFT to a TQFT and Duality Kapustin, Anton; Seiberg, Nathan arXiv https://doi.org/10.48550/arxiv.1401.0740	text	January 2014
Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles Cherman, Aleksey; Dorigoni, Daniele; Unsal, Mithat arXiv https://doi.org/10.48550/arxiv.1403.1277	preprint	January 2014
Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD Anber, Mohamed M.; Poppitz, Erich; Sulejmanpasic, Tin arXiv https://doi.org/10.48550/arxiv.1501.06773	text	January 2015
C-P-T anomaly matching in bosonic quantum field theory and spin chains Sulejmanpasic, Tin; Tanizaki, Yuya arXiv https://doi.org/10.48550/arxiv.1802.02153	text	January 2018
Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls Anber, Mohamed M.; Poppitz, Erich arXiv https://doi.org/10.48550/arxiv.1807.00093	text	January 2018
Abelian gauge theories on the lattice: $θ$-terms and compact gauge theory with(out) monopoles Sulejmanpasic, Tin; Gattringer, Christof arXiv https://doi.org/10.48550/arxiv.1901.02637	text	January 2019
High-temperature domain walls of QCD with imaginary chemical potentials Nishimura, Hiromichi; Tanizaki, Yuya arXiv https://doi.org/10.48550/arxiv.1903.04014	text	January 2019
Fractional $θ$ angle, 't Hooft anomaly, and quantum instantons in charge-$q$ multi-flavor Schwinger model Misumi, Tatsuhiro; Tanizaki, Yuya; Ünsal, Mithat arXiv https://doi.org/10.48550/arxiv.1905.05781	text	January 2019
Notes on generalized global symmetries in QFT: Notes on generalized global symmetries in QFT Sharpe, Eric Fortschritte der Physik, Vol. 63, Issue 11-12 https://doi.org/10.1002/prop.201500048	journal	September 2015
Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking Hooft, G. ’t Recent Developments in Gauge Theories https://doi.org/10.1007/978-1-4684-7571-5_9	book	January 1980
Some results for SU(N) gauge-fields on the Hypertorus van Baal, Pierre Communications in Mathematical Physics, Vol. 85, Issue 4 https://doi.org/10.1007/BF01403503	journal	December 1982
A PCAC puzzle: π0→γγ in the σ-model Bell, J. S.; Jackiw, R. Il Nuovo Cimento A, Vol. 60, Issue 1 https://doi.org/10.1007/BF02823296	journal	March 1969
Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/JHEP01(2018)110	journal	January 2018
Generalized global symmetries Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)172	journal	February 2015
Phase structure of the twisted SU(3)/U(1)2 flag sigma model on ℝ × S1 Hongo, Masaru; Misumi, Tatsuhiro; Tanizaki, Yuya Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)070	journal	February 2019
Exploring 2-group global symmetries Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)184	journal	February 2019
Bion non-perturbative contributions versus infrared renormalons in two-dimensional ℂPN − 1 models Fujimori, Toshiaki; Kamata, Syo; Misumi, Tatsuhiro Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)190	journal	February 2019
Universal mechanism of (semi-classical) deconfinement and θ-dependence for all simple groups Poppitz, Erich; Schäfer, Thomas; Ünsal, Mithat Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)087	journal	March 2013
On 2-group global symmetries and their anomalies Benini, Francesco; Córdova, Clay; Hsin, Po-Shen Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)118	journal	March 2019
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane Armoni, Adi; Sugimoto, Shigeki Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)175	journal	March 2019
2d affine XY-spin model/4d gauge theory duality and deconfinement Anber, Mohamed M.; Poppitz, Erich; Ünsal, Mithat Journal of High Energy Physics, Vol. 2012, Issue 4 https://doi.org/10.1007/JHEP04(2012)040	journal	April 2012
Coupling a QFT to a TQFT and duality Kapustin, Anton; Seiberg, Nathan Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)001	journal	April 2014
Theta, time reversal and temperature Gaiotto, Davide; Kapustin, Anton; Komargodski, Zohar Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)091	journal	May 2017
Anomaly matching in QCD thermal phase transition Yonekura, Kazuya Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)062	journal	May 2019
The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade Karasik, Avner; Komargodski, Zohar Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)144	journal	May 2019
Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) Anber, Mohamed M.; Poppitz, Erich Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)151	journal	May 2019
Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model Misumi, Tatsuhiro; Nitta, Muneto; Sakai, Norisuke Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)164	journal	June 2014
Vacuum structure of bifundamental gauge theories at finite topological angles Tanizaki, Yuya; Kikuchi, Yuta Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)102	journal	June 2017
High-temperature domain walls of QCD with imaginary chemical potentials Nishimura, Hiromichi; Tanizaki, Yuya Journal of High Energy Physics, Vol. 2019, Issue 6 https://doi.org/10.1007/JHEP06(2019)040	journal	June 2019
Large N reduction with the twisted Eguchi-Kawai model González-Arroyo, Antonio; Okawa, Masanori Journal of High Energy Physics, Vol. 2010, Issue 7 https://doi.org/10.1007/JHEP07(2010)043	journal	July 2010
Modifying the sum over topological sectors and constraints on supergravity Seiberg, Nathan Journal of High Energy Physics, Vol. 2010, Issue 7 https://doi.org/10.1007/JHEP07(2010)070	journal	July 2010
Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected Poppitz, Erich; Ünsal, Mithat Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)082	journal	July 2011
From 4d Yang-Mills to 2d ℂℙN − 1 model: IR problem and confinement at weak coupling Yamazaki, Masahito; Yonekura, Kazuya Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)088	journal	July 2017
Fractional θ angle, ’t Hooft anomaly, and quantum instantons in charge-q multi-flavor Schwinger model Misumi, Tatsuhiro; Tanizaki, Yuya; Ünsal, Mithat Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/JHEP07(2019)018	journal	July 2019
The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects Argyres, Philip C.; Ünsal, Mithat Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)063	journal	August 2012
Reading between the lines of four-dimensional gauge theories Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)115	journal	August 2013
Quantum distillation of Hilbert spaces, semi-classics and anomaly matching Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/JHEP08(2018)068	journal	August 2018
Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking Tanizaki, Yuya Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/JHEP08(2018)171	journal	August 2018
Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls Anber, Mohamed M.; Poppitz, Erich Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)076	journal	September 2018
Continuity, deconfinement, and (super) Yang-Mills theory Poppitz, Erich; Schäfer, Thomas; Ünsal, Mithat Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)115	journal	October 2012
On the global structure of deformed Yang-Mills theory and QCD(adj) on ℝ 3 × S 1 $$ {\mathrm{\mathbb{R}}}^3\times {\mathbb{S}}^1 $$ Anber, Mohamed M.; Poppitz, Erich Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)051	journal	October 2015
Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles Cherman, Aleksey; Dorigoni, Daniele; Ünsal, Mithat Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)056	journal	October 2015
Relating ’t Hooft anomalies of 4d pure Yang-Mills and 2d ℂℙN− 1 model Yamazaki, Masahito Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)172	journal	October 2018
Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model Dunne, Gerald V.; Ünsal, Mithat Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)170	journal	November 2012
Circle compactification and ’t Hooft anomaly Tanizaki, Yuya; Misumi, Tatsuhiro; Sakai, Norisuke Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)056	journal	December 2017
Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow Cox, Andrew A.; Poppitz, Erich; Wong, Samuel S. Y. Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/JHEP12(2019)011	journal	December 2019
Large N chiral dynamics Witten, E. Annals of Physics, Vol. 128, Issue 2 https://doi.org/10.1016/0003-4916(80)90325-5	journal	September 1980
Compact gauge fields and the infrared catastrophe Polyakov, A. M. Physics Letters B, Vol. 59, Issue 1 https://doi.org/10.1016/0370-2693(75)90162-8	journal	October 1975
Pseudoparticle solutions of the Yang-Mills equations Belavin, A. A.; Polyakov, A. M.; Schwartz, A. S. Physics Letters B, Vol. 59, Issue 1 https://doi.org/10.1016/0370-2693(75)90163-X	journal	October 1975
The structure of the gauge theory vacuum Callan, C. G.; Dashen, R. F.; Gross, D. J. Physics Letters B, Vol. 63, Issue 3 https://doi.org/10.1016/0370-2693(76)90277-X	journal	August 1976
A twisted model for large N lattice gauge theory Gonzalez-Arroyo, A.; Okawa, M. Physics Letters B, Vol. 120, Issue 1-3 https://doi.org/10.1016/0370-2693(83)90647-0	journal	January 1983
Magnetic monopoles in unified gauge theories Hooft, G. 't Nuclear Physics B, Vol. 79, Issue 2 https://doi.org/10.1016/0550-3213(74)90486-6	journal	September 1974
On the phase transition towards permanent quark confinement 't Hooft, G. Nuclear Physics B, Vol. 138, Issue 1 https://doi.org/10.1016/0550-3213(78)90153-0	journal	June 1978
The axial anomaly and the bound-state spectrum in confining theories Frishman, Y.; Schwimmer, A.; Banks, T. Nuclear Physics B, Vol. 177, Issue 1 https://doi.org/10.1016/0550-3213(81)90268-6	journal	January 1981
Constraints on supersymmetry breaking Witten, Edward Nuclear Physics B, Vol. 202, Issue 2 https://doi.org/10.1016/0550-3213(82)90071-2	journal	July 1982
QCD at fixed topology Brower, R.; Chandrasekharan, S.; Negele, J. W. Physics Letters B, Vol. 560, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00369-1	journal	May 2003
Exact T-duality between calorons and Taub-NUT spaces Kraan, Thomas C.; van Baal, Pierre Physics Letters B, Vol. 428, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00411-0	journal	June 1998
Monopole constituents inside SU(n) calorons Kraan, Thomas C.; van Baal, Pierre Physics Letters B, Vol. 435, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00799-0	journal	September 1998
Periodic instantons with non-trivial holonomy Kraan, Thomas C.; van Baal, Pierre Nuclear Physics B, Vol. 533, Issue 1-3 https://doi.org/10.1016/S0550-3213(98)00590-2	journal	November 1998
Time reversal, S U ( N ) Yang–Mills and cobordisms: Interacting topological superconductors/insulators and quantum spin liquids in 3 + 1 D Guo, Meng; Putrov, Pavel; Wang, Juven Annals of Physics, Vol. 394 https://doi.org/10.1016/j.aop.2018.04.025	journal	July 2018
String compactifications on Calabi–Yau stacks Pantev, Tony; Sharpe, Eric Nuclear Physics B, Vol. 733, Issue 3 https://doi.org/10.1016/j.nuclphysb.2005.10.035	journal	January 2006
Abelian gauge theories on the lattice: θ-Terms and compact gauge theory with(out) monopoles Sulejmanpasic, Tin; Gattringer, Christof Nuclear Physics B, Vol. 943 https://doi.org/10.1016/j.nuclphysb.2019.114616	journal	June 2019
Monopoles, affine algebras and the gluino condensate Davies, N. Michael; Hollowood, Timothy J.; Khoze, Valentin V. Journal of Mathematical Physics, Vol. 44, Issue 8 https://doi.org/10.1063/1.1586477	journal	August 2003
Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes Misumi, Tatsuhiro; Nitta, Muneto; Sakai, Norisuke Progress of Theoretical and Experimental Physics, Vol. 2015, Issue 3 https://doi.org/10.1093/ptep/ptv009	journal	March 2015
On time-reversal anomaly of 2+1d topological phases Tachikawa, Yuji; Yonekura, Kazuya Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 3 https://doi.org/10.1093/ptep/ptx010	journal	March 2017
Resurgence structure to all orders of multi-bions in deformed SUSY quantum mechanics Fujimori, Toshiaki; Kamata, Syo; Misumi, Tatsuhiro Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 8 https://doi.org/10.1093/ptep/ptx101	journal	August 2017
Global inconsistency, ’t Hooft anomaly, and level crossing in quantum mechanics Kikuchi, Yuta; Tanizaki, Yuya Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 11 https://doi.org/10.1093/ptep/ptx148	journal	November 2017
Axial-Vector Vertex in Spinor Electrodynamics Adler, Stephen L. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2426	journal	January 1969
Conflicting symmetries in topologically ordered surface states of three-dimensional bosonic symmetry protected topological phases Cho, Gil Young; Teo, Jeffrey C. Y.; Ryu, Shinsei Physical Review B, Vol. 89, Issue 23 https://doi.org/10.1103/PhysRevB.89.235103	journal	June 2014
The “parity” anomaly on an unorientable manifold Witten, Edward Physical Review B, Vol. 94, Issue 19 https://doi.org/10.1103/PhysRevB.94.195150	journal	November 2016
Walls, anomalies, and deconfinement in quantum antiferromagnets Komargodski, Zohar; Sulejmanpasic, Tin; Ünsal, Mithat Physical Review B, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevB.97.054418	journal	February 2018
C − P − T anomaly matching in bosonic quantum field theory and spin chains Sulejmanpasic, Tin; Tanizaki, Yuya Physical Review B, Vol. 97, Issue 14 https://doi.org/10.1103/PhysRevB.97.144201	journal	April 2018
Anomaly and global inconsistency matching: θ angles, S U ( 3 ) / U ( 1 ) 2 nonlinear sigma model, S U ( 3 ) chains, and generalizations Tanizaki, Yuya; Sulejmanpasic, Tin Physical Review B, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevB.98.115126	journal	September 2018
Lieb-Schultz-Mattis type theorem with higher-form symmetry and the quantum dimer models Kobayashi, Ryohei; Shiozaki, Ken; Kikuchi, Yuta Physical Review B, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevB.99.014402	journal	January 2019
SU(2) calorons and magnetic monopoles Lee, Kimyeong; Lu, Changhai Physical Review D, Vol. 58, Issue 2 https://doi.org/10.1103/PhysRevD.58.025011	journal	June 1998
Finite volume QCD at fixed topological charge Aoki, Sinya; Fukaya, Hidenori; Hashimoto, Shoji Physical Review D, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevD.76.054508	journal	September 2007
Center-stabilized Yang-Mills theory: Confinement and large N volume independence Ünsal, Mithat; Yaffe, Laurence G. Physical Review D, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevD.78.065035	journal	September 2008
Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions Ünsal, Mithat Physical Review D, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevD.80.065001	journal	September 2009
Continuity and Resurgence: Towards a continuum definition of the C P ( N − 1 ) model Dunne, Gerald V.; Ünsal, Mithat Physical Review D, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevD.87.025015	journal	January 2013
Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders Wen, Xiao-Gang Physical Review D, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevD.88.045013	journal	August 2013
Decomposition in diverse dimensions Sharpe, Eric Physical Review D, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevD.90.025030	journal	July 2014
Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD Anber, Mohamed M.; Poppitz, Erich; Sulejmanpašić, Tin Physical Review D, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevD.92.021701	journal	July 2015
θ dependence of 4D S U ( N ) gauge theories in the large- N limit Bonati, Claudio; D’Elia, Massimo; Rossi, Paolo Physical Review D, Vol. 94, Issue 8 https://doi.org/10.1103/PhysRevD.94.085017	journal	October 2016
Anomaly matching for the phase diagram of massless Z N -QCD Tanizaki, Yuya; Kikuchi, Yuta; Misumi, Tatsuhiro Physical Review D, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevD.97.054012	journal	March 2018
θ dependence in trace deformed S U ( 3 ) Yang-Mills theory: A lattice study Bonati, Claudio; Cardinali, Marco; D’Elia, Massimo Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevD.98.054508	journal	September 2018
Mass-gap in the compactified principal chiral model Evslin, Jarah; Zhang, Baiyang Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.085016	journal	October 2018
Abelian Duality, Confinement, and Chiral-Symmetry Breaking in a SU(2) QCD-Like Theory Ünsal, Mithat Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.032005	journal	January 2008
Semiclassical Realization of Infrared Renormalons Argyres, Philip; Ünsal, Mithat Physical Review Letters, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevLett.109.121601	journal	September 2012
Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model Cherman, Aleksey; Dorigoni, Daniele; Dunne, Gerald V. Physical Review Letters, Vol. 112, Issue 2 https://doi.org/10.1103/PhysRevLett.112.021601	journal	January 2014
Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology Kapustin, Anton; Thorngren, Ryan Physical Review Letters, Vol. 112, Issue 23 https://doi.org/10.1103/PhysRevLett.112.231602	journal	June 2014
Field-Theory Representation of Gauge-Gravity Symmetry-Protected Topological Invariants, Group Cohomology, and Beyond Wang, Juven C.; Gu, Zheng-Cheng; Wen, Xiao-Gang Physical Review Letters, Vol. 114, Issue 3 https://doi.org/10.1103/PhysRevLett.114.031601	journal	January 2015
Global Symmetries, Volume Independence, and Continuity in Quantum Field Theories Sulejmanpasic, Tin Physical Review Letters, Vol. 118, Issue 1 https://doi.org/10.1103/PhysRevLett.118.011601	journal	January 2017
Confinement in the Bulk, Deconfinement on the Wall: Infrared Equivalence between Compactified QCD and Quantum Magnets Sulejmanpasic, Tin; Shao, Hui; Sandvik, Anders W. Physical Review Letters, Vol. 119, Issue 9 https://doi.org/10.1103/PhysRevLett.119.091601	journal	September 2017
Anomaly Matching and Symmetry-Protected Critical Phases in S U ( N ) Spin Systems in 1 + 1 Dimensions Yao, Yuan; Hsieh, Chang-Tse; Oshikawa, Masaki Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/PhysRevLett.123.180201	journal	October 2019
Vacuum Periodicity in a Yang-Mills Quantum Theory Jackiw, R.; Rebbi, C. Physical Review Letters, Vol. 37, Issue 3 https://doi.org/10.1103/PhysRevLett.37.172	journal	July 1976
Symmetry Breaking through Bell-Jackiw Anomalies 't Hooft, G. Physical Review Letters, Vol. 37, Issue 1 https://doi.org/10.1103/PhysRevLett.37.8	journal	July 1976
CP Conservation in the Presence of Pseudoparticles Peccei, R. D.; Quinn, Helen R. Physical Review Letters, Vol. 38, Issue 25 https://doi.org/10.1103/PhysRevLett.38.1440	journal	June 1977
Reduction of Dynamical Degrees of Freedom in the Large- N Gauge Theory Eguchi, Tohru; Kawai, Hikaru Physical Review Letters, Vol. 48, Issue 16 https://doi.org/10.1103/PhysRevLett.48.1063	journal	April 1982
Theta Dependence in the Large N Limit of Four-Dimensional Gauge Theories Witten, Edward Physical Review Letters, Vol. 81, Issue 14 https://doi.org/10.1103/PhysRevLett.81.2862	journal	October 1998
Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions Wang, Juven; Wen, Xiao-Gang; Witten, Edward Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031048	journal	August 2018
QCD and instantons at finite temperature Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G. Reviews of Modern Physics, Vol. 53, Issue 1 https://doi.org/10.1103/RevModPhys.53.43	journal	January 1981
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